Quasilinear Schrödinger equations appear in several differential physical phenomena. We consider the quasilinear Schrödinger equation 
, where V and f are periodic in x1,...,xN and f is odd in u and subcritical. By employing the genus theory and variational method, we only need f is continuous, which is allowed to have weaker asymptotic growth than usually assumed, and obtain infinitely many geometrically distinct solutions for λ > 0.
| Published in | American Journal of Applied Mathematics (Volume 10, Issue 4) |
| DOI | 10.11648/j.ajam.20221004.12 |
| Page(s) | 125-133 |
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2022. Published by Science Publishing Group |
Quasilinear Schrodinger Equation, Multiplicity of Solutions, Genus Theory
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APA Style
Ziqing Yuan, Shen Liu. (2022). Existence and Multiplicity of Solutions for a Class of Quasilinear Schrödinger Equations ♦. American Journal of Applied Mathematics, 10(4), 125-133. https://doi.org/10.11648/j.ajam.20221004.12
ACS Style
Ziqing Yuan; Shen Liu. Existence and Multiplicity of Solutions for a Class of Quasilinear Schrödinger Equations ♦. Am. J. Appl. Math. 2022, 10(4), 125-133. doi: 10.11648/j.ajam.20221004.12
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Download@article{10.11648/j.ajam.20221004.12,
author = {Ziqing Yuan and Shen Liu},
title = {Existence and Multiplicity of Solutions for a Class of Quasilinear Schrödinger Equations ♦},
journal = {American Journal of Applied Mathematics},
volume = {10},
number = {4},
pages = {125-133},
doi = {10.11648/j.ajam.20221004.12},
url = {https://doi.org/10.11648/j.ajam.20221004.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20221004.12},
abstract = {Quasilinear Schrödinger equations appear in several differential physical phenomena. We consider the quasilinear Schrödinger equation , where V and f are periodic in x1,...,xN and f is odd in u and subcritical. By employing the genus theory and variational method, we only need f is continuous, which is allowed to have weaker asymptotic growth than usually assumed, and obtain infinitely many geometrically distinct solutions for λ > 0.},
year = {2022}
}
TY - JOUR T1 - Existence and Multiplicity of Solutions for a Class of Quasilinear Schrödinger Equations ♦ AU - Ziqing Yuan AU - Shen Liu Y1 - 2022/07/26 PY - 2022 N1 - https://doi.org/10.11648/j.ajam.20221004.12 DO - 10.11648/j.ajam.20221004.12 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 125 EP - 133 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20221004.12 AB - Quasilinear Schrödinger equations appear in several differential physical phenomena. We consider the quasilinear Schrödinger equation , where V and f are periodic in x1,...,xN and f is odd in u and subcritical. By employing the genus theory and variational method, we only need f is continuous, which is allowed to have weaker asymptotic growth than usually assumed, and obtain infinitely many geometrically distinct solutions for λ > 0. VL - 10 IS - 4 ER -
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